3(2+m)=5(2-m)+6

Solution for 3(2+m)=5(2-m)+6 equation:

Simplifying
3(2 + m) = 5(2 + -1m) + 6
(2 * 3 + m * 3) = 5(2 + -1m) + 6
(6 + 3m) = 5(2 + -1m) + 6
6 + 3m = (2 * 5 + -1m * 5) + 6
6 + 3m = (10 + -5m) + 6

Reorder the terms:
6 + 3m = 10 + 6 + -5m

Combine like terms: 10 + 6 = 16
6 + 3m = 16 + -5m

Solving
6 + 3m = 16 + -5m

Solving for variable 'm'.

Move all terms containing m to the left, all other terms to the right.

Add '5m' to each side of the equation.
6 + 3m + 5m = 16 + -5m + 5m

Combine like terms: 3m + 5m = 8m
6 + 8m = 16 + -5m + 5m

Combine like terms: -5m + 5m = 0
6 + 8m = 16 + 0
6 + 8m = 16

Add '-6' to each side of the equation.
6 + -6 + 8m = 16 + -6

Combine like terms: 6 + -6 = 0
0 + 8m = 16 + -6
8m = 16 + -6

Combine like terms: 16 + -6 = 10
8m = 10

Divide each side by '8'.
m = 1.25

Simplifying
m = 1.25